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Finding the Fourth Proportional to 1,394.00, 2,090.87 and 469.57

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Solution

The fourth proportional to 1,394.00, 2,090.87 and 469.57 is: 704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.00 : 2,090.87 = 469.57 : x
  2. Step 2: Convert to fraction form
    1,394.00/2,090.87 = 469.57/x
  3. Step 3: Cross multiply
    1,394.00x = 2,090.87 × 469.57
  4. Step 4: Simplify right side
    1,394.00x = 981,803.42
  5. Step 5: Solve for x
    x = 981,803.42/1,394.00
  6. Step 6: Final answer
    x = 704.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.